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Finding the Fourth Proportional to 408,083.40, 610,742.70 and 408,083.40

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Solution

The fourth proportional to 408,083.40, 610,742.70 and 408,083.40 is: 610,742.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,083.40 : 610,742.70 = 408,083.40 : x
  2. Step 2: Convert to fraction form
    408,083.40/610,742.70 = 408,083.40/x
  3. Step 3: Cross multiply
    408,083.40x = 610,742.70 × 408,083.40
  4. Step 4: Simplify right side
    408,083.40x = 249,233,957,541.18
  5. Step 5: Solve for x
    x = 249,233,957,541.18/408,083.40
  6. Step 6: Final answer
    x = 610,742.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.